Table 2.

Optimization results for fitting the statistical power function (Eq. 8) to the experimental data p_αⁿ for all investigated α levels

α	CEEα, AllExTT	αparam, AllExTT	μ0	μ1	σparam, AllExTT	LSSAllExTT	R2AllExTT
0.5	46.29	0.415	1.83	2.2	0.267	62.649	0.36
0.2	39.18	0.470	1.83	2.2	1.042	20.919	0.94
0.1	30.09	0.271	1.83	2.2	0.691	10.824	0.98
0.05	24.73	0.166	1.83	2.2	0.631	8.583	0.98
0.02	21.39	0.090	1.83	2.19	0.612	6.378	0.99
0.01	19.01	0.060	1.83	2.2	0.582	4.222	0.99
5 × 10−3	18.13	0.040	1.83	2.2	0.572	3.806	0.99
2 × 10−3	17.43	0.032	1.83	2.2	0.606	4.147	0.99
1 × 10−3	16.74	0.026	1.83	2.2	0.617	3.488	0.99
5 × 10−4	14.70	0.020	1.83	2.2	0.578	2.834	0.99
2 × 10−4	11.63	0.014	1.83	2.2	0.508	3.092	0.99
1 × 10−4	10.73	0.012	1.83	2.2	0.507	2.555	0.99
5 × 10−5	10.20	0.009	1.83	2.2	0.487	3.307	0.98
2 × 10−5	9.45	0.010	1.83	2.2	0.506	2.507	0.98
1 × 10−5	8.85	0.009	1.83	2.2	0.489	2.952	0.98
abs	8.56	0.007	1.83	2.2	0.470	3.056	0.98

α	CEEα, AllEx	αparam, AllEx	μ0	μ1	σparam, AllEx	LSSAllEx	R2AllEx
0.5	57.02	0.7	1.83	2.2	0.804	4.706	0.97
0.2	37.85	0.49	1.83	2.2	0.913	5.264	0.98
0.1	25.53	0.35	1.83	2.2	0.864	2.539	0.99
0.05	17.00	0.22	1.83	2.2	0.741	1.858	0.99
0.02	10.94	0.11	1.83	2.19	0.649	1.577	0.99
0.01	8.06	0.06	1.83	2.2	0.577	1.383	0.98
5 × 10−3	8.02	0.06	1.83	2.2	0.573	1.739	0.98
2 × 10−3	5.34	0.02	1.83	2.2	0.583	0.478	0.99
1 × 10−3	4.76	0.02	1.83	2.2	0.629	0.214	0.99
5 × 10−4	4.21	0.02	1.83	2.2	0.637	0.189	0.99
2 × 10−4	3.27	0.02	1.83	2.2	0.603	0.102	0.99
1 × 10−4	2.65	0.02	1.83	2.2	0.603	0.056	0.99
5 × 10−5	2.53	0.01	1.83	2.2	0.554	0.063	0.99
2 × 10−5	2.18	0.01	1.83	2.2	0.529	0.083	0.99
1 × 10−5	2.15	0.01	1.83	2.2	0.535	0.076	0.99
abs	1.97	0	1.83	2.2	0.455	0.112	0.99

Top, The table shows the optimization results for all 16 α levels using simulated annealing for fitting the data p_αⁿ normalized by the number of excitatory neuron pairs per tetrode (N_AllExTT). The left column represents the significance thresholds (α) that were applied to count the number of significant cross-correlations. The parameter CEE_α,AllExTT (the asymptotic detection probability of excitatory connections p_αⁿ), α_{param,AllExTT} as well as σ_{param,AllExTT} were optimized using simulated annealing. μ₀ and μ₁ were estimated from the data; μ₀ is the mean of the jittered cross-correlations of all EE pairs. μ₁ is the mean of the peaks within the window [−4;4] of all significant EE cross-correlations. LSS (least sum of squares)_AllExTT shows the smallest LSS that was used to select the best fit out of the 1000 optimization trials. R²_AllExTT provides a measure for the goodness of the optimization result. Bottom, The table shows the simulated annealing optimization results for all 16 α levels for fitting the data normalized by the total number of excitatory neuron pairs (N_AllEx). CEE_α,AllEx, α_param,AllEx, and σ_param,AllEx were optimized using simulated annealing. The columns for α, μ₀, μ₁, LSS, and R_AllEx² are as described in the top.